Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
Advertisement Remove all ads

Equation of the Diameter of the Circle X2 + Y2 − 2x + 4y = 0 Which Passes Through the Origin is - Mathematics

MCQ

Equation of the diameter of the circle x2 + y2 − 2x + 4y = 0 which passes through the origin is

Options

  • x + 2y = 0

  • x − 2y = 0

  • 2x + y = 0

  • 2x − y = 0Let the diameter of the circle be y = mx.
    Since the diameter of the circle passes through its centre, (1, −2) satisfies the equation of the diameter.

Advertisement Remove all ads

Solution

2x + y = 0

Let the diameter of the circle be y = mx.
Since the diameter of the circle passes through its centre, (1, −2) satisfies the equation of the diameter.

∴ \[m =  - 2\]

Substituting the value of m in the equation of diameter:

\[y = - 2x\] 
\[\Rightarrow 2x + y = 0\]
Hence, the required equation of the diameter is
\[2x + y = 0\].
Concept: Circle - Standard Equation of a Circle
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 24 The circle
Q 23 | Page 40
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×